Question

A plane is defined by the equation $x=0$ a. What is a normal vector to this plane? b. Explain how you know that this plane passes through the origin. c. Write the coordinates of three points on this plane.

          A plane is defined by the equation $x=0$
a. What is a normal vector to this plane?
b. Explain how you know that this plane passes through the origin.
c. Write the coordinates of three points on this plane.

Added by Rachel D.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Saidah K

03/21/2022

Step 1

**Step 2:** To prove that the plane passes through the origin, we substitute the origin point $(0, 0, 0)$ into the equation of the plane: $0 = 0$. Since this equation is true, it confirms that the plane passes through the origin. **Step 3:** Three points on Show more…

Show all steps

Thanks for your feedback!

A plane is defined by the equation $x=0$ a. What is a normal vector to this plane? b. Explain how you know that this plane passes through the origin. c. Write the coordinates of three points on this plane.